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Finding the Fourth Proportional to 9,812, 13,530.96 and 6,273.92

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Solution

The fourth proportional to 9,812, 13,530.96 and 6,273.92 is: 8,651.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812 : 13,530.96 = 6,273.92 : x
  2. Step 2: Convert to fraction form
    9,812/13,530.96 = 6,273.92/x
  3. Step 3: Cross multiply
    9,812x = 13,530.96 × 6,273.92
  4. Step 4: Simplify right side
    9,812x = 84,892,160.56
  5. Step 5: Solve for x
    x = 84,892,160.56/9,812
  6. Step 6: Final answer
    x = 8,651.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.